典型文献
Matrix Integrable Fourth-Order Nonlinear Schr?dinger Equations and Their Exact Soliton Solutions
文献摘要:
We construct matrix integrable fourth-order nonlinear Schr?dinger equations through reducing the Ablowitz-Kaup-Newell-Segur matrix eigenvalue problems.Based on properties of eigenvalue and adjoint eigenvalue prob-lems,we solve the corresponding reflectionless Riemann-Hilbert problems,where eigenvalues could equal adjoint eigenvalues,and formulate their soliton solutions via those reflectionless Riemann-Hilbert problems.Soliton solu-tions are computed for three illustrative examples of scalar and two-component integrable fourth-order nonlinear Schr?dinger equations.
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作者姓名:
Wen-Xiu Ma
作者机构:
Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China;Department of Mathematics,King Abdulaziz University,Jeddah 21589,Saudi Arabia;Department of Mathematics and Statistics,University of South Florida,Tampa,FL 33620-5700,USA;School of Mathematical and Statistical Sciences,North-West University,Mafikeng Campus,Private Bag X2046,Mmabatho 2735,South Africa
文献出处:
引用格式:
[1]Wen-Xiu Ma-.Matrix Integrable Fourth-Order Nonlinear Schr?dinger Equations and Their Exact Soliton Solutions)[J].中国物理快报(英文版),2022(10):1-6
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Matrix,Integrable,Fourth,Order,Nonlinear,Schr,dinger,Equations,Their,Exact,Soliton,Solutions,We,construct,matrix,integrable,fourth,order,nonlinear,equations,through,reducing,Ablowitz,Kaup,Newell,Segur,problems,Based,properties,adjoint,solve,corresponding,reflectionless,Riemann,Hilbert,where,eigenvalues,could,equal,formulate,their,soliton,solutions,via,those,are,computed,three,illustrative,examples,scalar,two,component
AB值:
0.627769
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